Paper Info
Title
Block-Circulant Inverse Orthogonal Jacket Matrices and Its Applications to the Kronecker MIMO Channel
Abstract
This paper presents a note on the block-circulant generalized Hadamard matrices, which is called inverse orthogonal Jacket matrices of orders \(N=2p, 4p, 4^kp, np\), where k is a positive integer for the Kronecker MIMO channel. The class of block Toeplitz circulant Jacket matrices not only have many properties of the circulant Hadamard conjecture but also have the construction of block-circulant, which can be easily applied to fast algorithms for decomposition. The matrix decomposition is with the form of the products of block identity \(I_2\) matrix and block Hadamard \(H_2\) matrix. In this paper, a block fading channel model is used, where the channel is constant during a transmission block and varies independently between transmission blocks. The proposed block-circulant Jacket matrices can also achieve about 3db gain in high SNR regime with MIMO channel. This algorithm for realizing these transforms can be applied to the Kronecker MIMO channel.
Year
DOI
Venue
2019
10.1007/s00034-018-0995-1
Circuits, Systems, and Signal Processing
Keywords
Field
DocType
Circulant Hadamard conjecture,Center-weighted Hadamard matrix,Reciprocal transpose,Block-circulant Jacket transform,DFT matrix,Toeplitz matrix,Kronecker MIMO channel
Discrete mathematics,Inverse,Kronecker delta,Matrix (mathematics),Control theory,Matrix decomposition,Toeplitz matrix,Circulant matrix,Hadamard transform,Mathematics,DFT matrix
Journal
Volume
Issue
ISSN
38
4
1531-5878
Citations 
PageRank 
References 
0
0.34
19
Authors
3
Name
Order
Citations
PageRank
Han Hai1145.46
Moon Ho Lee2765107.66
Xiao-Dong Zhang39719.87